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Finding the Fourth Proportional to 257,643.02, 355,383.78 and 186,128.12

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Solution

The fourth proportional to 257,643.02, 355,383.78 and 186,128.12 is: 256,738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,643.02 : 355,383.78 = 186,128.12 : x
  2. Step 2: Convert to fraction form
    257,643.02/355,383.78 = 186,128.12/x
  3. Step 3: Cross multiply
    257,643.02x = 355,383.78 × 186,128.12
  4. Step 4: Simplify right side
    257,643.02x = 66,146,914,849.89
  5. Step 5: Solve for x
    x = 66,146,914,849.89/257,643.02
  6. Step 6: Final answer
    x = 256,738.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.